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Q: 6. For the given functions f and g, algebraically find (f-g)(x) f(x) = -5x3- 7x2 - 8x g(x) = 12x3- 6...

A: Given,

Q: 2x2=5x-1

A: The equation is given by,

Q: Find the quadratic function y = ax + bx + c whose graph passes through the given points. (-2,0). (1,...

A: Given information:The three points are as follows:(-2,0),(1,0) and (3,10)

Q: The drag force F on a boat varies jointly with the wet surface area A of the boat and the square of ...

A: Drag force F directly varies with surface area A and square of the speed s.Wet surface area of boat ...

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a value mixture problem using a linear equation Esp...

A: Let x be a number of pounds of type A coffee.Here, total number of pounds is 155 and two types of co...

Q: You obtain a car loan of $28,500 for 5 years at 4.9% interest compounded monthly. A)You decide to p...

A: A)The loan amount on car loan is $28,500 at the interest of 4.9% for 5 years.In order to find the de...

Q: Find the indicated difference quotient and simplify your answer. f (x) = x 3 +3x, f (x +h)− f (x) /h...

A: Using given f(x) first find f(x+h).

Q: Please explain the solution which you will provide in detail. Concentrate on D and E more

A: Since we only answer up to 3 sub-parts and you asked to concentrate on D and E specifically, we’ll a...

Q: Which expression is equivalent to162 Question 6 options: 6¯10 • 68 ...

A: This expression is not equivalent to 162.

Q: At the movie theatre, child admission is $5.70 and adult admission is $9.70 . On Wednesday, four tim...

A: Let x be the number of adult tickets and y be the number of child tickets be sold.

Q: Suppose that the local sales tax rate is 6% and you purchase a car for $29,100. a. How much tax is p...

A: GivenThe sales tax is 6% of the price of the car.The price of the car is $29,100.

Q: #25 The speed of a plane in still air is 280 mph. Flying against the wind, it can fly 600 mi in the ...

A: Le the speed of wind is x miles/hour. The speed of the plane in still air is 280 mph\'. Then speed ...

Q: 8) Use f(x) x-4x +2 and g(x) 5x-4 for the following a) Find S-g b) Find (flg)(x)and give the domain ...

A: Click to see the answer

Q: #18

A: Refer to question 18 to determine whether the graphs with equation x+5y=-6 and y=5x-8 are parallel, ...

Q: Problem 6.37

A: Since f(x) is of degree 5, then f(x)-1 is also of degree 5. And given that f(x)-1 is divisible by (x...

Q: If two opposite sides of a square are increased by 12 meters and the other sides are decreased by 10...

A: Given that two opposite sides of a square are increased by 12 meters and the other sides are decreas...

Q: #6

A: Any line parallel to 7x+y=3 will have form 7x+y=k.

Q: What is the hypothenuse of an octagon?

A: Hypotenuse is the longest side of a right-angled triangle, opposite the right angle.

Q: I want to start a lemonade stand and determine how much lemonade I need to sell to break even each d...

A: Let you have to sell x glasses. Each glass costs $0.50. So x glasses cost $0.50x.

Q: If a given line has a negative slope, then what is the sign of the slope of the line that is perpend...

A: Given information:The line has a negative slope.

Q: Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of on...

A: Let a be the cost of advance ticket and s be the cost of of same day.It is given that combined cos...

Q: #21 and #22

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worke...

A: Let the first mechanic charged $x per hour. And the second mechanic charged $y per hour. Given that ...

Q: graph g(x)=4log1/2x plot at least two points on the graph, draw all asymptotes,

A: Given information:The given gunction is g(x)=4log1/2x.

Q: Use the given function to complete parts (a) through (e) below. f(x)-x-9x2 O Even, y-axis symmetry O...

A: The given function is,

Q: Collect like terms and then arrange them in descending order.-x+5/8+30x^3-x-1/2-3x^3

A: Here the given expression is

Q: Find the average rate of change of f(x)= 3x^2−x from x1=2 to x2=4

A: The given function is f ( x ) = 3x2 – x and x1 = 2 , x2 = 4. In order to find the average rate of ch...

Q: # 13 and # 14

A: (13)Let Felix invests $ x amount at 7% annual interest and then according to question, the amount th...

Q: In the equation D equals 3.25 G, which takes input values of gallons (G) for fuel and gives output v...

A: We have given the equation D=3.25 G, where D represents the cost in dollars and G is the value of ga...

Q: Answer the following questions about the equation below. 12x3 +53x-34x + 5 = 0 (a) List all rational...

A: We are given an equation.

Q: Explain how f (x) = (x − 1)2 + 3 is obtained from f (x) = x2.

A: Given f(x)=x^2, to obtain f(x)=(x-1)^2 from f(x)=x^2 we have to shift the graph to 1 unit right.

Q: Solve the compound inequality. -3v 6 2v-4 4 or Write the solution in interval notation If there is n...

A: The compounded inequality is given by,

Q: Let A = [1 -1 -1 -1 1 -1 -1 -1 1]. Find a diagonalization if possible.

A: We first find the eigenvalues and eigenvectors of A.Start from forming a new matrix by subtracting λ...

Q: The graph of a quadratic function is given. Write the function's equation, selecting from the follow...

A: The given quadratic equations are as follows.j(x)=-x²–49, f(x)=x²+14x+49, h(x)=x²–49, g(x)=x²–14x+49...

Q: Solve the rational inequality and graph the solution set on a real number line. Express the solution...

A: Given,

Q: x2-5x+6=0. find the value of x

A: Obtain the value of x as follows.

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: The given system of equations are,

Q: Solve and graph the solution on a number line

A: Given infromation:The given inequality is x-3>1Calculation:x-3>1x>1+3x>4Graph:

Q: Given the following function (a) find the vertex (b) determine whether there is a maximum or a minim...

A: Note: This question consists of 4 sub parts, we are authorized to answer up to 3 subparts, so we are...

Q: Steve and Nicole entered a double-decker bus in London on which there were 5/8 as many men as women....

A: Given information:Steve and Nicole entered a double-decker bus in London on which there were 5/8 as ...

Q: Solve the inequality using a graphing utility. X+ 1 s2 X- 2 Graph the given inequality using a graph...

A: Calculation:Use a graphing calculator and obtain the graph of the given rational function as shown b...

Q: Solve the equation for the unknown quantity 19.42 = P(1.2)3

A: First we simplify (1.2)^3.(1.2)^3=1.728

Q: The number of bacteria in a certain population increases according to a continuous exponential growt...

A: To use the given data (exponential model) to determine the initial data

Q: Please show step by step how to work out all asymptotes for f(x)=3^x-1

A: Vertical asymptote:The points at which the denominator is 0 or does not exist is the vertical asympt...

Q: The midpoint of PQ is M (4, -3). One endpoint is P Find the coordinates of the other endpoint, Q. (7...

A: The given system is,

Q: 9) A surfboard with a regular price of $525 is on sale at 20% off. Find the sale price of the board.

A: Given information:The regular price of the surfboard is $525.The surfboard is on sale at 20% off. Th...

Q: Find an equation of the circle whose diameter has endpoints , 46 and , 4−4 .

A: To write down the equation of satisfied by all the points on the given locus

Q: Solve by completing this square m2+3m-40=0

A: We first add 40 to both sides.

Q: Christine, Ali, and Henry served a total of 138 orders on Monday at the school cafeteria Henry serve...

A: Given information:Christine, Ali, and Henry served a total of 138 orders on Monday at the school caf...

Q: A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a fun...

A: (a)We have to find the time taken by the ball to reach at maximum height.The height function of the ...